3 papers
math.AG2026
Multigraded Regularity of the Complete Flag Variety
Caitlin M. Davis
We study the multigraded regularity of the complete flag variety under the Plücker embedding. In particular, we prove inductive relationships about the regularity regions, and we…
math.AC2025
Rational Normal Curves in Weighted Projective Space
Caitlin M. Davis, Aleksandra Sobieska
This article aims to extend classical homological results about the rational normal curves to analogues in weighted projective spaces. Results include determinantality and nonstand…
math.AC2025
The Koszul Property for Truncations of Nonstandard Graded Polynomial Rings
Caitlin M. Davis, Boyana Martinova
We prove that truncations of nonstandard graded polynomial rings are (nonstandard) Koszul modules in the sense of Herzog and Iyengar. This provides an analogue of the fact that suc…